Determining Reasonable Domains and Ranges (Verbal/Graph)
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Interpreting Graphs
Given a graph, the student will analyze, interpret, and communcate the mathematical relationship represented and its characteristics.
Valence Shell Electron Pair Repulsion
Given illustrations or descriptions, students will predict the shape of molecules based upon the extent of the electron pair electrostatic repulsion.
Chemical Bonding: Metallic Bonds
Given scenarios or diagrams, students will describe the nature of metallic bonding and explain properties such as thermal and electrical conductivity, malleability, and ductility of metals.
Nomenclature: Covalent Compounds
Given descriptions, diagrams, or scenarios, students will write and name the chemical formulas of binary covalent compounds.
Ionic Bonds: Electron Dot Formulas
Given descriptions, diagrams, scenarios, or chemical symbols, students will model ionic bonds using electron dot formulas.
Moles and Molar Mass
Given descriptions or chemical formula of a substance, students will use the concept of a mole to relate atomic mass to molar mass.
Wave Behavior: Doppler Effect
Given diagrams, scenarios, or illustrations, students will identify the characteristics of the Doppler effect.
Types of Solutions: Saturated, Supersaturated, or Unsaturated
Given scenarios, graphs, diagrams, or illustrations, the student will determine the type of solution such as saturated, supersaturated, or unsaturated.
Waves: Practical Applications
Given diagrams, scenarios, illustrations, or descriptions, students will identify uses of waves in medical and industrial applications.
Types of Motion
Students will distinguish between and/or interpret the types of motion.
Determining the Domain and Range for Quadratic Functions
Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, the student will determine the domain and range of the function.
Determining the Domain and Range for Quadratic Functions: Restricted Domain/Range
Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, the student will determine restrictions as necessary on the domain and range of the function.
Analyzing the Effects of the Changes in "a" on the Graph y = ax^2 + c
Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when a is changed.
Solving Quadratic Equations Using Concrete Models
Given a quadratic equation, the student will use tiles to factor and solve the equation.
Solving Quadratic Equations Using Algebraic Methods
Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.
Quadratics: Connecting Roots, Zeros, and x-Intercepts
Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.
Applying the Laws of Exponents: Verbal/Symbolic
Given verbal and symbolic descriptions of problems involving exponents, the student will simplify the expressions using the laws of exponents.
Using the Laws of Exponents to Solve Problems
Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.
Formulating Systems of Equations (Verbal → Symbolic)
Given verbal descriptions of situations involving systems of linear equations the student will analyze the situations and formulate systems of equations in two unknowns to solve problems.